Question

What value of $\mathrm{x}$ is in the solution set of $2\mathrm{x}–3>11–5\mathrm{x}$?

• A. $-3$
• B. $0$
• C. $2$
• D. $4$

Answer 1

The correct option is D

$4$

Explanation for the correct option:

Finding the solution set of $\mathrm{x}$:

Given : $2\mathrm{x}–3>11–5\mathrm{x}$

$\Rightarrow$ $2x+5x-3>11$ [Transposing $-5\mathrm{x}$ to the left hand side]

$\Rightarrow$ $7\mathrm{x}-3>11$

$\Rightarrow$ $7\mathrm{x}>11+3$ [Transposing $-3$ to the right hand side]

$\Rightarrow$ $7\mathrm{x}>14$

$\Rightarrow$ $\mathrm{x}>2$ [Dividing both the sides by $2$]

From the given options, $-3,0,2\ngtr 2$ but $4>2$

Hence, the correct option is (D).